The asymptotic form of the Titchmarsh-Weyl m-function for second-order linear differential equations with analytic coefficients

DOI10.1016/0022-0396(86)90034-3zbMath0609.34023OpenAlexW2075369361MaRDI QIDQ1086725

B. J. Harris

Publication date: 1986

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(86)90034-3

zbMATH Keywords

computer programlimit pointlimit circlesecond order differential equationWeyl theorym-functions

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Weyl theory and its generalizations for ordinary differential equations (34B20)

Related Items (4)

Asymptotics of the Titchmarsh—Weyl m-coefficient for non-integrable potentials ⋮ An exact method for the calculation of certain Titchmarsh-Weyl m-functions ⋮ The form of the spectral functions associated with Sturm‐Liouville problems with continuous spectrum ⋮ An inverse problem involving the Titchmarsh–Weyl m-function

Cites Work

• Unnamed Item
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• On the Titchmarsh–Weyl m -function
• The asymptotic form of the spectral functions associated with a class of Sturm–Liouville equations
• On the location of the Weyl circles
• On the asymptotic form of the Titchmarsh-Weylm-coefficient†
• THE ASYMPTOTIC FORM OF THE TITCHMARSH-WEYL m -FUNCTION
• On a Property of the M -Coefficient of a Secondorder Linear Differential Equation

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